104443771680 has 432 divisors, whose sum is σ = 380247973560. Its totient is φ = 27088846848.

The previous prime is 104443771669. The next prime is 104443771697. The reversal of 104443771680 is 86177344401.

104443771680 is a `hidden beast` number, since 10 + 44 + 437 + 7 + 168 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77459795856 + 26983975824 = 278316^2 + 164268^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38839776 + ... + 38842464.

Almost surely, 2^104443771680 is an apocalyptic number.

104443771680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104443771680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190123986780).

104443771680 is an abundant number, since it is smaller than the sum of its proper divisors (275804201880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104443771680 is an frugal number, since it uses more digits than its factorization.

104443771680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 104443771680 in words is "one hundred four billion, four hundred forty-three million, seven hundred seventy-one thousand, six hundred eighty".